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Finding the Fourth Proportional to 582.06, 873.10 and 257.36

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Solution

The fourth proportional to 582.06, 873.10 and 257.36 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.06 : 873.10 = 257.36 : x
  2. Step 2: Convert to fraction form
    582.06/873.10 = 257.36/x
  3. Step 3: Cross multiply
    582.06x = 873.10 × 257.36
  4. Step 4: Simplify right side
    582.06x = 224,701.02
  5. Step 5: Solve for x
    x = 224,701.02/582.06
  6. Step 6: Final answer
    x = 386.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.